Giancoli 7th Edition textbook cover
Giancoli's Physics: Principles with Applications, 6th Edition
6
Work and Energy
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6-1: Work, Constant Force
6-3: Kinetic Energy; Work-Energy Principle
6-4 and 6-5: Potential Energy
6-6 and 6-7: Conservatino of Mechanical Energy
6-8 and 6-9: Law of Conservation of Energy
6-10: Power

Problem 35
A
v=5.14m/sv=5.14m/s
Giancoli 6th Edition, Chapter 6, Problem 35 solution video poster
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VIDEO TRANSCRIPT

We know that the change in kinetic energy is going to be equal to the size of the change in potential energy. That's the way we start off a lot of questions in this section. So we have one half 'mv' initial squared, is 'mgh'. This is the change in kinetic energy, because the final kinetic energy is 0, since the slid stops. We'll solve for 'v', multiplying both sides by 2; and noticing that the 'm' is a common factor that cancels. Taking the square root of both sides also, 'v' is square root of 2'gh'. Which is the square root of 2 times 9.8 meters per second squared, times 1.35 meters and this gives # meters per second, must have been the initial speed.

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